8.G.3-4 Dilations

```Name ___________________
Period _____
Date ____________
8.G.3-4
Exit Ticket: Dilations
The table below shows the
coordinates of βπππ and the
coordinates of π ′ in βπ′π′π′.
βπ′π′π is a dilation of βπππ
with center of dilation at the
origin.
βRST
βπ′π′π′
π(−2, −3)
π(0, 2)
π(2, −3)
π′(−6, −9)
π′(? , ? )
π′(? , ? )
What is the scale factor?
How do you know?
On the grid below, draw
βπππ and βπ′π′π′.
Is the dilation an
enlargement or reduction?
How do you know?
What are the coordinates of
π′and π′? Show all your work.
Rubric Directions:
2. Circle where you think your understanding is.
8.G.4: Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections,
translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.
Not Yet
Almost There!
I tried to solve my
problems and
showed what I
tried, but I’m not
there yet.
Identifies dilations
of figures by a
given scale factor
and
transformations.
Got it!
Understand that any combination of rotations, reflections, translations, and dilations will result in a
similar figure. Describe the sequence of transformations needed to show how one figure is similar to
another. Perform transformations using physical models, transparencies, or geometry software. (Rigid
motion transformations will be addressed in Secondary Mathematics I.) Understand similarity using
physical models, transparencies, or geometry software. (Properties of dilations given by a center and a
scale factor will be addressed in Secondary Mathematics II).
π
Going Deeper
Recognizes that a
dilation with a
scale factor of 1
congruence.
1
Reflection Directions: Answer each question in complete sentences, then rate your EI skills.
1. What went well today?
2. EQ Summary: How do I describe the properties of dilations?
3. IQ: What do you still not understand?
4. EiS: Rate yourself on your emotional intelligence skills (EiS).
Self Awareness
I understand how my thoughts,
words, and actions impacted my
learning.
1
2
3
4
Self Management
I chose thoughts, words, and
actions that helped me learn.
1
2
3
4
Social Awareness
I understand how my thoughts,
words, and actions impacted
others' learning.
Relationship Skills
I chose thoughts, words, and
actions that helped others learn.
Responsible Decision Making
I made choices I needed to, even
when I didn't want to, so my
classmates and I could learn.
1
1
1
2
3
4
2
3
4
2
3
Extra Work Space
2
4
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